微有限元与均质有限元模拟预测小梁螺钉承载能力的对比分析

IF 3.5 2区医学 Q2 ENGINEERING, BIOMEDICAL

Journal of the Mechanical Behavior of Biomedical Materials Pub Date : 2025-08-14 DOI:10.1016/j.jmbbm.2025.107168

Antoine Vautrin , Patrik Wili , Simone Poncioni , Philippe Zysset , Peter Varga

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引用次数: 0

摘要

骨折固定植入物的主要功能是确保足够的骨折稳定性，这是成功植骨的先决条件。当界面的生物力学稳定性不足时，会发生骨螺钉结构的失效。作为体外力学试验的补充，这些失效机制可以通过有限元模拟来研究。目前已有两种建模方法：微有限元（μFE）在微观结构尺度上对骨小梁进行离散化，均质有限元（hFE）根据局部平均骨密度分配骨性质。μFE可能更准确，而hFE具有更低的计算成本，因此具有更高的临床翻译潜力。这些方法的弹性响应以前已经被研究和比较，但没有他们的屈服后的行为。本研究旨在评估和比较μFE和hFE复制实验确定的骨螺钉结构承载能力的能力。在牛胫骨近端骨小梁活检中置入12枚不锈钢螺钉，钻孔后用μCT扫描。随后以30°倾角单调加载试样直至破坏。采用前人开发的方法，基于μCT数据建立样品特异性μFE和hFE模型。骨的弹塑性行为和有限元模型的所有特征，除了网格划分和材料属性分配，都是相同的，旨在复制实验条件。实验极限载荷与μFE （R2 = 0.89）和hFE （R2 = 0.95）预测的极限载荷相关性较好，但两种模拟均有系统地高估极限载荷。hFE的极限负荷与μFE的极限负荷相关良好（R2 = 0.84），求解速度接近75倍。这些结果表明hFE是预测骨小梁内螺钉初级稳定性的一种合适的建模方法。结合其计算效率和使用低分辨率CT图像的能力，这些结果支持了hFE转化为临床应用的潜力。

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Comparative analysis of micro- and homogenized finite element simulations to predict the load-bearing capacity of trabecular bone screws

The main function of fracture fixation implants is to ensure sufficient fracture stability that is a prerequisite for successful osteosynthesis. The failure of bone-screw constructs can occur when the biomechanical stability of their interface is insufficient. In complement to in vitro mechanical testing, these failure mechanisms can be investigated with finite element (FE) simulations. Two modeling approaches have been developed: micro-FE (μFE) discretizes trabecular bone at the microstructural scale while homogenized FE (hFE) assigns bone properties based on the local average bone density. μFE is presumably more accurate while hFE has lower computational costs and thus a higher potential for clinical translation. The elastic response of these approaches has previously been investigated and compared, but not their post-yield behavior. The present study aimed to assess and compare the ability of μFE and hFE to replicate the load-bearing capacity of bone-screw constructs determined experimentally.

Twelve stainless steel screws were inserted in trabecular bone biopsies extracted from bovine proximal tibiae and scanned with μCT after pilot hole drilling. The samples were subsequently loaded monotonically at an inclination of 30° until failure. Previously developed methodologies were followed to build sample-specific μFE and hFE models based on μCT data. The elasto-plastic behavior of the bone and all features of the FE models, with the exception of meshing and material property assignment, were identical and aimed to replicate the experimental conditions.

The experimental ultimate load correlated well with the ultimate load predicted by μFE (R² = 0.89) and hFE (R² = 0.95), although both simulations overestimated it systematically. The hFE ultimate load correlated well with the one of μFE (R² = 0.84), while being closely 75 times faster to solve. These findings indicate that hFE is a suitable modeling approach for predicting the primary stability of bone screws in trabecular bone. In conjunction with its computational efficiency and its ability to use lower-resolution CT images, these results support the potential of hFE to be translated towards clinical applications.

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来源期刊

Journal of the Mechanical Behavior of Biomedical Materials 工程技术-材料科学：生物材料

CiteScore

7.20

自引率

7.70%

发文量

505

审稿时长

46 days

期刊介绍： The Journal of the Mechanical Behavior of Biomedical Materials is concerned with the mechanical deformation, damage and failure under applied forces, of biological material (at the tissue, cellular and molecular levels) and of biomaterials, i.e. those materials which are designed to mimic or replace biological materials. The primary focus of the journal is the synthesis of materials science, biology, and medical and dental science. Reports of fundamental scientific investigations are welcome, as are articles concerned with the practical application of materials in medical devices. Both experimental and theoretical work is of interest; theoretical papers will normally include comparison of predictions with experimental data, though we recognize that this may not always be appropriate. The journal also publishes technical notes concerned with emerging experimental or theoretical techniques, letters to the editor and, by invitation, review articles and papers describing existing techniques for the benefit of an interdisciplinary readership.